18.定义在(0,$\frac{π}{2}$)上的函数f(x),f′(x)是它的导函数,且恒有f(x)<f′(x)tanx成立.则下列不等关系成立的是( )
| A. | $\sqrt{3}$•f($\frac{π}{6}$)>2cos1•f(1) | B. | $\sqrt{3}$f($\frac{π}{6}$)<f($\frac{π}{3}$) | C. | $\sqrt{6}$f($\frac{π}{6}$)>2f($\frac{π}{4}$) | D. | $\sqrt{2}$f($\frac{π}{4}$)>f($\frac{π}{3}$) |
17.下列说法正确的是( )
| A. | log0.56>log0.54 | B. | 90.9>270.48 | C. | ${2.5^0}<{\frac{1}{2}^{2.5}}$ | D. | 0.60.5>0.60.3 |
16.在△ABC中,P为BC中点,若(sinC)$\overrightarrow{AC}$+(sinA)$\overrightarrow{PA}$+(sinB)$\overrightarrow{PB}$=$\overrightarrow{0}$,则△ABC的形状为( )
| A. | 直角三角形 | B. | 钝角三角形 | C. | 等边三角形 | D. | 等腰直角三角形 |
14.函数f(x)=log3x-$\frac{1}{x}$的零点所在区间为( )
| A. | (0,$\frac{1}{3}$) | B. | ($\frac{1}{3}$,1) | C. | (1,3) | D. | (3,4) |
9.已知偶函数y=f(x)是定义域为R,当x≥0时,$f(x)=\left\{\begin{array}{l}3sin\frac{π}{2}x,0≤x≤1\\{2^{2-x}}+1,x>1\end{array}\right.$.函数g(x)=x2-2ax+a2-1(a∈R).若函数y=g(f(x))有且仅有6个零点,则实数a的取值范围为( )
0 233751 233759 233765 233769 233775 233777 233781 233787 233789 233795 233801 233805 233807 233811 233817 233819 233825 233829 233831 233835 233837 233841 233843 233845 233846 233847 233849 233850 233851 233853 233855 233859 233861 233865 233867 233871 233877 233879 233885 233889 233891 233895 233901 233907 233909 233915 233919 233921 233927 233931 233937 233945 266669
| A. | (1,2] | B. | (1,2) | C. | (2,3] | D. | (2,3) |